120444192 has 384 divisors, whose sum is σ = 435456000. Its totient is φ = 31933440.

The previous prime is 120444179. The next prime is 120444197. The reversal of 120444192 is 291444021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (120444197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4153234 + ... + 4153262.

It is an arithmetic number, because the mean of its divisors is an integer number (1134000).

Almost surely, 2^120444192 is an apocalyptic number.

120444192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120444192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217728000).

120444192 is an abundant number, since it is smaller than the sum of its proper divisors (315011808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120444192 is a wasteful number, since it uses less digits than its factorization.

120444192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 120444192 is about 10974.7069209159. The cubic root of 120444192 is about 493.8502608553.

The spelling of 120444192 in words is "one hundred twenty million, four hundred forty-four thousand, one hundred ninety-two".